Fraction1/7
Fraction1/7
Decimal≈ 0.1428571429exactly 0.(142857)
Percent≈ 14.285714%exactly 14.(285714)%
Where the decimal comes from
There is no rewrite over 10, 100 or 1000 for 1/7: 7 has a prime factor other than 2 and 5, so no whole-number multiplier reaches a power of ten. Watch the long division to see what happens instead — the remainders start circling, and once a remainder comes back, the digits must too:
- 10 ÷ 7 = 1remainder 3
- 30 ÷ 7 = 4remainder 2
- 20 ÷ 7 = 2remainder 6
- 60 ÷ 7 = 8remainder 4
- 40 ÷ 7 = 5remainder 5
- 50 ÷ 7 = 7remainder 1— this remainder has come around before, so from here the digits repeat
Written exactly: 0.(142857) — the parentheses mark the block that repeats forever.
Every way to write it
- Decimal
- ≈ 0.1428571429
- Percent
- ≈ 14.285714%
- Ratio
- 1 : 7 (part to whole)
- As inches
- 1/7″ = 3.628571 mm
Equivalent fractions
Multiply the top and bottom of 1/7 by the same number and the value does not change:
1/7 = 2/14 = 3/21 = 4/28 = 5/35 = 6/42 · more, or pick a denominator
On the number line
As a measurement
Read as inches, 1/7″ is 3.628571 mm exactly. The nearest marks on the finer rules:
| Rule | Nearest mark | Decimal inches | mm | Difference |
|---|---|---|---|---|
| 16ths | 1/8″ | 0.125 | 3.175 | −0.4536 mm |
| 32ths | 5/32″ | 0.15625 | 3.9688 | +0.3402 mm |
| 64ths | 9/64″ | 0.140625 | 3.5719 | −0.0567 mm |
Need a different rule or a tolerance? Nearest fraction · Within tolerance
Common questions
- What is 1/7 as a decimal?
- 1/7 is 0.1428571429 rounded; exactly, it is the repeating decimal 0.(142857).
- What is 1/7 as a percentage?
- 1/7 is about 14.285714% as a percentage.
- How many millimetres is 1/7 of an inch?
- 1/7 of an inch is 3.628571 mm, computed with the exact definition 1 inch = 25.4 mm.
Related
Fraction–decimal chartThe everyday set, printable.Rule charts16ths, 32nds, 64ths, 128ths.The rulerSee 1/7 in its place.